\relax 
\providecommand\hyper@newdestlabel[2]{}
\citation{platt2010belief,indelman2015planning,pathak2018unified}
\@writefile{toc}{\contentsline {chapter}{\numberline {第5章\hspace  {.3em}}基于概率拓扑的构型规划方法}{77}{section*.233}\protected@file@percent }
\@writefile{lof}{\addvspace {10.0pt}}
\@writefile{lot}{\addvspace {10.0pt}}
\@writefile{loa}{\addvspace {10\p@ }}
\@writefile{toe}{\contentsline {chapter}{\bfseries  \fontsize  {12pt}{12pt}\selectfont  Chapter 5\hspace  {0.5em}{\boldmath  Configuration planning under belief space with probabilistic network topology}}{77}{section*.234}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.1}引言}{77}{section*.235}\protected@file@percent }
\@writefile{toe}{\contentsline {section}{\numberline {5.1}Introduction}{77}{section*.236}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5.2}概率拓扑对目标函数的影响}{78}{section*.237}\protected@file@percent }
\@writefile{toe}{\contentsline {section}{\numberline {5.2}The impact of probabilitic topology on objective function}{78}{section*.238}\protected@file@percent }
\newlabel{eq. ACTCO_objective function1}{{5-1}{78}{概率拓扑对目标函数的影响}{equation.5-1}{}}
\newlabel{eq. ACTCO_objective function2}{{5-2}{79}{概率拓扑对目标函数的影响}{equation.5-2}{}}
\newlabel{eq. connectionSpatialIndependence}{{5-3}{80}{概率拓扑对目标函数的影响}{equation.5-3}{}}
\newlabel{eq. connectionTemporalIndependence}{{5-4}{80}{概率拓扑对目标函数的影响}{equation.5-4}{}}
\newlabel{eq. PROB_decompositionConnPriori}{{5-5}{80}{概率拓扑对目标函数的影响}{equation.5-5}{}}
\citation{provost1992quadratic}
\newlabel{eq. PROB_decompositionConnPriori1}{{5-6}{81}{概率拓扑对目标函数的影响}{equation.5-6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.3}基于自适应参数选择的有限项近似概率计算方法}{81}{section*.239}\protected@file@percent }
\@writefile{toe}{\contentsline {section}{\numberline {5.3}Finite-term approximation for probability using adaptive power series extension}{81}{section*.240}\protected@file@percent }
\newlabel{subsec. ch5sec3}{{5.3}{81}{基于自适应参数选择的有限项近似概率计算方法}{section*.240}{}}
\@writefile{thm}{\contentsline {theorem}{{\hei 定理}{5.{1}}{}}{81}{section*.241}\protected@file@percent }
\newlabel{th.PROB_PowerSeriesExpansion}{{5.{1}}{81}{基于自适应参数选择的有限项近似概率计算方法}{section*.241}{}}
\newlabel{eq.PROB CDP_infinity}{{5-7}{81}{基于自适应参数选择的有限项近似概率计算方法}{equation.5-7}{}}
\newlabel{eq.PROB_c_w}{{5-8}{81}{基于自适应参数选择的有限项近似概率计算方法}{equation.5-8}{}}
\newlabel{eq.PROB_d_w}{{5-9}{81}{基于自适应参数选择的有限项近似概率计算方法}{equation.5-9}{}}
\@writefile{thm}{\contentsline {theorem}{{\hei 定理}{5.{2}}{}}{81}{section*.242}\protected@file@percent }
\newlabel{th. PROB_factorial_lemma}{{5.{2}}{81}{基于自适应参数选择的有限项近似概率计算方法}{section*.242}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.1}圆盘观测模型与有限项近似}{82}{section*.243}\protected@file@percent }
\@writefile{toe}{\contentsline {subsection}{\numberline {5.3.1}The disk-model and finite-term Approximation}{82}{section*.244}\protected@file@percent }
\@writefile{lof}{\contentsline {figure}{\numberline {5-1}{\ignorespaces 圆盘观测模型}}{82}{section*.245}\protected@file@percent }
\newlabel{fig. PROB_DiskModel}{{5-1}{82}{圆盘观测模型与有限项近似}{section*.245}{}}
\newlabel{eq. PROB_CDP_finite}{{5-10}{83}{圆盘观测模型与有限项近似}{equation.5-10}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-2}{\ignorespaces 有限项近似方法计算连通概率存在的问题}}{84}{section*.246}\protected@file@percent }
\newlabel{fig. PROB_PerEvaTwoNodes}{{5-2}{84}{圆盘观测模型与有限项近似}{section*.246}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.2}截断误差稳定性分析}{85}{section*.247}\protected@file@percent }
\@writefile{toe}{\contentsline {subsection}{\numberline {5.3.2}Stability analysis for truncation error}{85}{section*.248}\protected@file@percent }
\newlabel{subsec. ch5sec3.2}{{5.3.2}{85}{截断误差稳定性分析}{section*.248}{}}
\newlabel{eq. PROB_truncationError}{{5-11}{85}{截断误差稳定性分析}{equation.5-11}{}}
\@writefile{thm}{\contentsline {corollary}{{\hei 推论}{5.{1}}{}}{85}{section*.249}\protected@file@percent }
\newlabel{cor. PROB_dw}{{5.{1}}{85}{截断误差稳定性分析}{section*.249}{}}
\newlabel{eq. PROB_tilde_d_w}{{5-12}{86}{截断误差稳定性分析}{equation.5-12}{}}
\newlabel{eq. PROB_tilde_c_w}{{5-13}{86}{截断误差稳定性分析}{equation.5-13}{}}
\@writefile{thm}{\contentsline {corollary}{{\hei 推论}{5.{2}}{}}{86}{section*.250}\protected@file@percent }
\newlabel{cor. PROB_recursive_c_w}{{5.{2}}{86}{截断误差稳定性分析}{section*.250}{}}
\newlabel{eq. PROB_c_w_recursive}{{5-14}{86}{截断误差稳定性分析}{equation.5-14}{}}
\newlabel{eq. PROB_e_w^1}{{5-15}{86}{截断误差稳定性分析}{equation.5-15}{}}
\newlabel{eq. new series e_k^D, D>2}{{5-16}{86}{截断误差稳定性分析}{equation.5-16}{}}
\@writefile{thm}{\contentsline {corollary}{{\hei 推论}{5.{3}}{}}{86}{section*.251}\protected@file@percent }
\newlabel{cor. PROB_e_w^D}{{5.{3}}{86}{截断误差稳定性分析}{section*.251}{}}
\@writefile{thm}{\contentsline {theorem}{{\hei 定理}{5.{3}}{}}{86}{section*.252}\protected@file@percent }
\newlabel{th. PROB_adaptive_main_theorem}{{5.{3}}{86}{截断误差稳定性分析}{section*.252}{}}
\newlabel{eq. PROB_w_F_conditions}{{5-17}{87}{截断误差稳定性分析}{equation.5-17}{}}
\newlabel{eq. PROB_w_F_Basel_condition}{{5-18}{88}{截断误差稳定性分析}{equation.5-18}{}}
\newlabel{eq. PROB_trunctionErrorAfterBasel}{{5-19}{88}{截断误差稳定性分析}{equation.5-19}{}}
\@writefile{lot}{\contentsline {table}{\numberline {5-1}{\ignorespaces 不同条件下$g(w_F)$低于四组域值时所需的$w_F$值}}{88}{section*.253}\protected@file@percent }
\newlabel{tab. PROB_g_w_F}{{5-1}{88}{截断误差稳定性分析}{section*.253}{}}
\newlabel{eq. PROB_maximum_tile_c_D_1}{{5-20}{89}{截断误差稳定性分析}{equation.5-20}{}}
\newlabel{eq. PROB_g(w_F)_alpha}{{5-21}{89}{截断误差稳定性分析}{equation.5-21}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.3}基于平移膨胀的协方差校正}{90}{section*.254}\protected@file@percent }
\@writefile{toe}{\contentsline {subsection}{\numberline {5.3.3}Translationally approximated covariance expansion }{90}{section*.255}\protected@file@percent }
\@writefile{lof}{\contentsline {figure}{\numberline {5-3}{\ignorespaces 平移膨胀的协方差校正方法}}{91}{section*.256}\protected@file@percent }
\newlabel{fig. PROB_Trace}{{5-3}{91}{基于平移膨胀的协方差校正}{section*.256}{}}
\@writefile{loa}{\contentsline {algocf}{\numberline {5-1}{\ignorespaces 平移协方差膨胀校正算法}}{92}{section*.257}\protected@file@percent }
\@writefile{aen}{\contentsline {algoen}{\numberline {5-1}{The algorithm of translationally approximated covariance expansion}}{92}{section*.258}\protected@file@percent }
\newlabel{alg. Trace}{{5-1}{92}{基于平移膨胀的协方差校正}{section*.258}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.4}基于自适应参数选择的连通概率预测算法}{92}{section*.261}\protected@file@percent }
\@writefile{toe}{\contentsline {subsection}{\numberline {5.3.4}Probability prediction algorithm: the adaptive power series extension}{92}{section*.262}\protected@file@percent }
\@writefile{loa}{\contentsline {algocf}{\numberline {5-2}{\ignorespaces APSE：基于自适应参数选取的有限项近似概率改进算法}}{93}{section*.259}\protected@file@percent }
\@writefile{aen}{\contentsline {algoen}{\numberline {5-2}{APSE: Adaptive Power Seris Extension algorithm for the prediction of probability}}{93}{section*.260}\protected@file@percent }
\newlabel{alg. PROB_APSE}{{5-2}{93}{基于平移膨胀的协方差校正}{section*.260}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-4}{\ignorespaces $3\delta $修正方法示意图}}{94}{section*.263}\protected@file@percent }
\newlabel{fig. PROB_3delta}{{5-4}{94}{基于自适应参数选择的连通概率预测算法}{section*.263}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3.5}概率预测算法精准度验证仿真}{94}{section*.264}\protected@file@percent }
\@writefile{toe}{\contentsline {subsection}{\numberline {5.3.5}Simulation Results for the Accuracy of Predicted Probability}{94}{section*.265}\protected@file@percent }
\newlabel{subsec. ch5sec5.3.5}{{5.3.5}{94}{概率预测算法精准度验证仿真}{section*.265}{}}
\@writefile{loa}{\contentsline {algocf}{\numberline {5-3}{\ignorespaces 随机抽样算法}}{95}{section*.266}\protected@file@percent }
\@writefile{aen}{\contentsline {algoen}{\numberline {5-3}{Randomly sampling algorithm}}{95}{section*.267}\protected@file@percent }
\newlabel{alg. RandomSampleDistributionAlg}{{5-3}{95}{概率预测算法精准度验证仿真}{section*.267}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-5}{\ignorespaces 典型案列的真实分布}}{96}{section*.268}\protected@file@percent }
\newlabel{fig. PROB_RealDistributionAndErrorsSingleCase}{{5-5}{96}{概率预测算法精准度验证仿真}{section*.268}{}}
\newlabel{subfig. discretizationArea}{{5-6\nobreakspace  {}a)}{96}{概率预测算法精准度验证仿真}{subfigure.a)}{}}
\newlabel{sub@subfig. discretizationArea}{{a)}{96}{概率预测算法精准度验证仿真\relax }{subfigure.a)}{}}
\newlabel{subfig. discretizationBoundary}{{5-6\nobreakspace  {}b)}{96}{概率预测算法精准度验证仿真}{subfigure.b)}{}}
\newlabel{sub@subfig. discretizationBoundary}{{b)}{96}{概率预测算法精准度验证仿真\relax }{subfigure.b)}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-6}{\ignorespaces 典型案例下算法的性能表现与对比}}{96}{section*.269}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces 概率预测误差的RMSE}}{96}{section*.270}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces RMSE for predicted probability error}}{96}{section*.271}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces 数值计算复杂度}}{96}{section*.272}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces Run time}}{96}{section*.273}\protected@file@percent }
\newlabel{fig. PROB_performanceRepresentativeCase}{{5-6}{96}{概率预测算法精准度验证仿真}{section*.273}{}}
\newlabel{subfig. discretizationArea}{{5-7\nobreakspace  {}a)}{97}{概率预测算法精准度验证仿真}{subfigure.a)}{}}
\newlabel{sub@subfig. discretizationArea}{{a)}{97}{概率预测算法精准度验证仿真\relax }{subfigure.a)}{}}
\newlabel{subfig. discretizationBoundary}{{5-7\nobreakspace  {}b)}{97}{概率预测算法精准度验证仿真}{subfigure.b)}{}}
\newlabel{sub@subfig. discretizationBoundary}{{b)}{97}{概率预测算法精准度验证仿真\relax }{subfigure.b)}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-7}{\ignorespaces 200次打靶仿真中算法的概率预测表现性能分布}}{97}{section*.274}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces 概率误差RMSE分布}}{97}{section*.275}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces Distribution of RMSE for predicted probability error}}{97}{section*.276}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces 数值计算复杂度分布}}{97}{section*.277}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces Distribution of the run time}}{97}{section*.278}\protected@file@percent }
\newlabel{fig. PROB_performance200Distribution}{{5-7}{97}{概率预测算法精准度验证仿真}{section*.278}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.4}基于拓扑概率预测的构型规划算法}{98}{section*.279}\protected@file@percent }
\@writefile{toe}{\contentsline {section}{\numberline {5.4}Configuration planning for CL using an exact network probabiltiy}{98}{section*.280}\protected@file@percent }
\newlabel{subsec. ch5sec4}{{5.4}{98}{基于拓扑概率预测的构型规划算法}{section*.280}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-8}{\ignorespaces 基于概率拓扑的目标函数计算示意图}}{98}{section*.285}\protected@file@percent }
\newlabel{fig. PROB_ComputeObjectiveProbCon}{{5-8}{98}{基于拓扑概率预测的构型规划算法}{section*.285}{}}
\@writefile{loa}{\contentsline {algocf}{\numberline {5-4}{\ignorespaces 给定网络拓扑和候选控制时的目标函数计算算法}}{99}{section*.281}\protected@file@percent }
\@writefile{aen}{\contentsline {algoen}{\numberline {5-4}{Compute objective function given control candidate and network topology}}{99}{section*.282}\protected@file@percent }
\newlabel{alg. EvaluateObjectiveFucntionProbCon}{{5-4}{99}{基于拓扑概率预测的构型规划算法}{section*.282}{}}
\@writefile{loa}{\contentsline {algocf}{\numberline {5-5}{\ignorespaces 给定候选控制时基于概率拓扑的目标函数计算算法}}{100}{section*.283}\protected@file@percent }
\@writefile{aen}{\contentsline {algoen}{\numberline {5-5}{Compute objective function given control candidate based on probabilistic network topology}}{100}{section*.284}\protected@file@percent }
\newlabel{alg. EvaluateObjectiveFucntionAll}{{5-5}{100}{基于拓扑概率预测的构型规划算法}{section*.284}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.5}数值仿真结果}{100}{section*.286}\protected@file@percent }
\@writefile{toe}{\contentsline {section}{\numberline {5.5}Simulation results}{100}{section*.287}\protected@file@percent }
\@writefile{loa}{\contentsline {algocf}{\numberline {5-6}{\ignorespaces 伯努利概率模型}}{101}{section*.288}\protected@file@percent }
\@writefile{aen}{\contentsline {algoen}{\numberline {5-6}{The Bernoulli model}}{101}{section*.289}\protected@file@percent }
\newlabel{alg. BernoulliDistributionAlg}{{5-6}{101}{数值仿真结果}{section*.289}{}}
\@writefile{loa}{\contentsline {algocf}{\numberline {5-7}{\ignorespaces 线性概率模型}}{101}{section*.290}\protected@file@percent }
\@writefile{aen}{\contentsline {algoen}{\numberline {5-7}{The Linear model}}{101}{section*.291}\protected@file@percent }
\newlabel{alg. LinearDistributionAlg}{{5-7}{101}{数值仿真结果}{section*.291}{}}
\citation{indelman2015planning}
\citation{indelman2015planning}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.5.1}CM仿真案例}{102}{section*.292}\protected@file@percent }
\@writefile{toe}{\contentsline {subsection}{\numberline {5.5.1}The simulation case of CM}{102}{section*.293}\protected@file@percent }
\@writefile{lof}{\contentsline {figure}{\numberline {5-9}{\ignorespaces CM案例四种方法的性能对比}}{103}{section*.294}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces 伯努利模型}}{103}{section*.295}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces Bernoulli model}}{103}{section*.296}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces 线性模型}}{103}{section*.297}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces Linear model}}{103}{section*.298}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{c)}{\ignorespaces 随机抽样模型}}{103}{section*.299}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{c)}{\ignorespaces Random Sampling model}}{103}{section*.300}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{d)}{\ignorespaces APSE}}{103}{section*.301}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{d)}{\ignorespaces APSE}}{103}{section*.302}\protected@file@percent }
\newlabel{fig. PROB_performanceRepresentativeCase}{{5-9}{103}{CM仿真案例}{section*.302}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-10}{\ignorespaces CM仿真四种方法的数值结果对}}{104}{section*.303}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces 领导者定位的平均不确定性}}{104}{section*.304}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces Mean of leader's localization uncertainty over all trials}}{104}{section*.305}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces 领导者定位双层平均误差以及总连接个数}}{104}{section*.306}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces Mean of leader's localization uncertainty over all trials and over all time steps as well as the totall connections}}{104}{section*.307}\protected@file@percent }
\newlabel{fig. PROB_performanceRepresentativeCase}{{5-10}{104}{CM仿真案例}{section*.307}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.5.2}CLAP仿真场景}{105}{section*.308}\protected@file@percent }
\@writefile{toe}{\contentsline {subsection}{\numberline {5.5.2}The simulation case for CLAP}{105}{section*.309}\protected@file@percent }
\@writefile{lof}{\contentsline {figure}{\numberline {5-11}{\ignorespaces CLAP问题的场景配置}}{106}{section*.310}\protected@file@percent }
\newlabel{fig. PROB_CLAPComposition}{{5-11}{106}{CLAP仿真场景}{section*.310}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-12}{\ignorespaces CLAP案例四种方法的性能对比}}{107}{section*.311}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces 伯努利模型}}{107}{section*.312}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces Bernoulli model}}{107}{section*.313}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces 线性模型}}{107}{section*.314}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces Linear model}}{107}{section*.315}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{c)}{\ignorespaces 随机抽样模型}}{107}{section*.316}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{c)}{\ignorespaces Random Sampling model}}{107}{section*.317}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{d)}{\ignorespaces APSE方法}}{107}{section*.318}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{d)}{\ignorespaces APSE}}{107}{section*.319}\protected@file@percent }
\newlabel{fig. ACOTO_performanceCLAP4}{{5-12}{107}{CLAP仿真场景}{section*.319}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5-13}{\ignorespaces CLAP案例四种方法数值结果对比}}{108}{section*.320}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces 估计位置与真实位置的平均偏差RMSE}}{108}{section*.321}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{a)}{\ignorespaces Mean RMSE for the deviations of leader's estimated and real position}}{108}{section*.322}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces 领导者的平均自定位误差}}{108}{section*.323}\protected@file@percent }
\@writefile{lof}{\contentsline {subfigure}{\numberline{b)}{\ignorespaces Mean of leader's localization uncertainty over all trials}}{108}{section*.324}\protected@file@percent }
\newlabel{fig. ACOTO_performanceCLAP2}{{5-13}{108}{CLAP仿真场景}{section*.324}{}}
\@writefile{lot}{\contentsline {table}{\numberline {5-2}{\ignorespaces CLAP问题的四个指标统计情况}}{108}{section*.325}\protected@file@percent }
\newlabel{tab. performanceCLAP}{{5-2}{108}{CLAP仿真场景}{section*.325}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5.6}小结}{109}{section*.326}\protected@file@percent }
\@writefile{toe}{\contentsline {section}{\numberline {5.6}Summary}{109}{section*.327}\protected@file@percent }
\@setckpt{sections/Sec4ActivePlanningPro}{
\setcounter{page}{110}
\setcounter{equation}{22}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{chapter}{5}
\setcounter{section}{6}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{13}
\setcounter{table}{2}
\setcounter{parentequation}{11}
\setcounter{LT@tables}{0}
\setcounter{LT@chunks}{0}
\setcounter{subfigure}{0}
\setcounter{lofdepth}{1}
\setcounter{subtable}{0}
\setcounter{lotdepth}{1}
\setcounter{@contsubnum}{2}
\setcounter{newflo@tctr}{8}
\setcounter{NAT@ctr}{0}
\setcounter{endNonectr}{135}
\setcounter{currNonectr}{0}
\setcounter{Item}{0}
\setcounter{Hfootnote}{0}
\setcounter{Hy@AnnotLevel}{0}
\setcounter{bookmark@seq@number}{76}
\setcounter{AlgoLine}{12}
\setcounter{algocfline}{12}
\setcounter{algocfproc}{12}
\setcounter{algocf}{7}
\setcounter{lstnumber}{1}
\setcounter{section@level}{0}
\setcounter{lstlisting}{0}
\setcounter{algoen}{0}
\setcounter{aendepth}{1}
\setcounter{currdefinitionctr}{1}
\setcounter{enddefinitionctr}{1}
\setcounter{definition}{0}
\setcounter{currexamplectr}{0}
\setcounter{endexamplectr}{0}
\setcounter{example}{0}
\setcounter{curralgoctr}{0}
\setcounter{endalgoctr}{0}
\setcounter{algo}{0}
\setcounter{currtheoremctr}{10}
\setcounter{endtheoremctr}{2}
\setcounter{theorem}{3}
\setcounter{curraxiomctr}{0}
\setcounter{endaxiomctr}{0}
\setcounter{axiom}{0}
\setcounter{currpropositionctr}{0}
\setcounter{endpropositionctr}{0}
\setcounter{proposition}{0}
\setcounter{currlemmactr}{4}
\setcounter{endlemmactr}{0}
\setcounter{lemma}{0}
\setcounter{currcorollaryctr}{3}
\setcounter{endcorollaryctr}{0}
\setcounter{corollary}{3}
\setcounter{currremarkctr}{0}
\setcounter{endremarkctr}{0}
\setcounter{remark}{0}
\setcounter{currassumptionctr}{6}
\setcounter{endassumptionctr}{0}
\setcounter{assumption}{0}
\setcounter{pubctr}{0}
}
